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A note on meromorphic solutions of complex differential-difference equations

Xiao-Guang Qi|Lian-Zhong Yang
대한수학회 (The Korean Mathematical Society)|2019.05|대한수학회보 (Bulletin of the KMS)|제56권 제3호|pp. 597-607|DOI 10.4134/BKMS.b180258

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키워드

growthmeromorphic solutioncomplex differential-difference equationexponent of convergence of zeros and poles
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초록

In this article, we consider properties of transcendental meromorphic solutions of the complex differential-difference equation $$ P_n(z)f^{(n)}(z+\eta_n)+\cdots+P_1(z)f'(z+\eta_1)+P_0(z)f(z+\eta_0)=0, $$ and its non-homogeneous equation. Our results extend earlier results by Liu et al.~\cite{Liu3}.

Abstract

In this article, we consider properties of transcendental meromorphic solutions of the complex differential-difference equation $$ P_n(z)f^{(n)}(z+\eta_n)+\cdots+P_1(z)f'(z+\eta_1)+P_0(z)f(z+\eta_0)=0, $$ and its non-homogeneous equation. Our results extend earlier results by Liu et al.~\cite{Liu3}.

참고문헌 (18)

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